2509463842992 has 320 divisors, whose sum is σ = 8039699712000. Its totient is φ = 744779722752.

The previous prime is 2509463842969. The next prime is 2509463843023. The reversal of 2509463842992 is 2992483649052.

2509463842992 is a `hidden beast` number, since 2 + 5 + 0 + 9 + 463 + 84 + 2 + 9 + 92 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100313878 + ... + 100338890.

It is an arithmetic number, because the mean of its divisors is an integer number (25124061600).

Almost surely, 2^{2509463842992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2509463842992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019849856000).

2509463842992 is an abundant number, since it is smaller than the sum of its proper divisors (5530235869008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2509463842992 is a wasteful number, since it uses less digits than its factorization.

2509463842992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25785 (or 25773 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 2509463842992 in words is "two trillion, five hundred nine billion, four hundred sixty-three million, eight hundred forty-two thousand, nine hundred ninety-two".